On finite groups factorised by submodular subgroups

2023/07/28 by Monakhov, Victor S., Sokhor, Irina L.
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2307.15497

Abstract

A subgroup H of a finite group G is submodular in G if there is a subgroup chain H=H₀≤…≤ H_i≤ H_i+1≤ … ≤ H_n=G such that H_i is a modular subgroup of H_i+1 for every i. We investigate finite factorised groups with submodular primary (cyclic primary) subgroups in factors. We indicate a general approach to the description of finite groups factorised by supersolvable submodular subgroups.

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